THE PERSISTENCE OF HIV-1 SPREADING IN MSM POPULATION IN CHINA

Yan Li; Jinjin Cheng; Jie Lou

doi:10.11948/2019.245

2019 Volume 9 Issue 1

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Yan Li, Jinjin Cheng, Jie Lou. THE PERSISTENCE OF HIV-1 SPREADING IN MSM POPULATION IN CHINA[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 245-260. doi: 10.11948/2019.245

Citation:

Yan Li, Jinjin Cheng, Jie Lou. THE PERSISTENCE OF HIV-1 SPREADING IN MSM POPULATION IN CHINA[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 245-260. doi: 10.11948/2019.245

THE PERSISTENCE OF HIV-1 SPREADING IN MSM POPULATION IN CHINA

1.
Department of Mathematics, Shanghai University, 99 Shangda Road Shanghai, China
2.
Henan Cable TV Network Group Co., Ltd. Zhengzhou Branch, Zhengzhou, China

Corresponding author: Email address: jie.lou@126.com(J. Lou)
Fund Project: The authors are supported by Natural Science Foundation of China (No. 11771277 and No. 11331009)

Abstract

Abstract

In this work, we develop and analyze mathematical models for the dynamics about the evolution of HIV/AIDS in men who have sex with men in China. We focus on the analyses of the basic reproduction number $ R_0 $ and the persistence of infection. Through simulations we also find that the interventions including antiviral therapy, condom using and potential vaccinations play very important roles in the HIV/AIDS spreading in MSM population in China.
- Dynamic models /
- persistence /
- HIV/AIDS
MSC: 39A11, 92D30

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References

[1]	R. M. Anderson, Mathematical studies of parasitic infection and immunity, Science, 1994, 264(5167), 1884-1886. doi: 10.1126/science.8009218 CrossRef Google Scholar
[2]	S. M. Blower, H. B. Gershengorn and R. M. Grant, A tale of two futures: HIV-1 and antiretroviral therapy in San Francisco, Science, 2000, 287, 650-654. doi: 10.1126/science.287.5453.650 CrossRef Google Scholar
[3]	R. Brebana, I. McGowanb et. al., Modeling the potential impact of rectal microbicides to reduce HIV-1 transmission in bathhouses, Mathematical Biosciences and Engineering, 2006, 3, 459-466. doi: 10.3934/mbe CrossRef Google Scholar
[4]	Chinese Center for Disease Control and Prevention: Analysis of HIV-1/STD epidemic in 2005, Beijing, China. Google Scholar
[5]	Chinese Center for Disease Control and Prevention: Analysis of HIV-1/STD epidemic in 2013, Beijing, China. Google Scholar
[6]	D. Coombs, M. A. Gilchrist and C. L. Ball, Evaluating the importance of within-and between-host selection pressures on the evolution of chronic pathogens, Theoretical population biology, 2007, 72(4), 576-591. doi: 10.1016/j.tpb.2007.08.005 CrossRef Google Scholar
[7]	M. M. Deschamps, J. W. Pape, A. Hafner and W. D. Johnson, Heterosexual transmission of HIV-1 in Haiti, Annals of Internal Medicine, 1996, IM-125 (Suppl 4), 324-330. Google Scholar
[8]	Van den Driessche and J. Watmough, Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission, Mathematical biosciences, 2002, 180, 29-48. doi: 10.1016/S0025-5564(02)00108-6 CrossRef Google Scholar
[9]	M. A. Gilchrist and A. Sasaki, Modeling host-parasite coevolution: a nested approach based on mechanistic models, Journal of Theoretical Biology, 2002, 218(3), 289-308. doi: 10.1006/jtbi.2002.3076 CrossRef Google Scholar
[10]	J. M. Heffernan, R. J. Smith and L. M. Wahl, Perspectives on the basic reproductive ratio, J. R. Soc. Interface, 2005, 2, 281-293. doi: 10.1098/rsif.2005.0042 CrossRef Google Scholar
[11]	High-risk behaviors and HIV-1/syphilis prevalence among men who have sex with men in Beijing, China CDC, 2008. Google Scholar
[12]	HIV infection rate climbing among gay men. http://www.chinadaily.com.cn/china/2006-10/22/content_713884.htm. Google Scholar
[13]	R. S. Hogg, S. A. Rhone, B. Yip, C. Sherlock, B. Conway, M. T. Schechter, M. V. O'Shaughnessy and J. S. Montaner, Antiviral effect of double and triple drug combinations amongst HIV-1-infected adults: lessons from the implementation of viral load-driven antiretroviral therapy, AIDS, 1998, 12, 279-84. doi: 10.1097/00002030-199803000-00005 CrossRef Google Scholar
[14]	Y. Li, Selected Works of Li Yinhe, Neimenggu University Press, 2006. Google Scholar
[15]	J. Lou, H. Zhou, D. Liang, Z. Jin and B. Song, The coupled within-and between-host dynamics in the evolution of HIV/AIDS in China, Journal of Applied Analysis and Computation, 2015, 5(4), 731-750. Google Scholar
[16]	G. Luo, C. Zhu and K. Lan, Dynamics of SIR epidemic models with horizontal and vertical transmissions and constant treatment rates, Journal of Applied Analysis and Computation, 2017, 7(3), 957-976. Google Scholar
[17]	M. Martcheva and X. Li, Linking immunological and epidemiological dynamics of hiv: the case of super-infection, Journal of biological dynamics, 2013, 7(1), 161-182. doi: 10.1080/17513758.2013.820358 CrossRef Google Scholar
[18]	N. Mideo, S. Alizon and T. Day, Linking within-and between-host dynamics in the evolutionary epidemiology of infectious diseases, Trends in ecology & evolution, 2008, 23(9), 511-517. Google Scholar
[19]	MSM 19 times more likely to be infected with HIV-1, says AIDS group, Fridae: Empowering Gay Asia, 2008. http://www.fridae.com/newsfeatures/2008/08/05/2099.msm-19-times-more-likely-to-be-infected-with-HIV-1-says-aids-group. Google Scholar
[20]	T. C. Porco, J. N. Martin, K. A. Page-Shafer et. al., Decline in HIV-1 infectivity following the introduction of highly active antiretroviral therapy, AIDS, 2004, 18, 81-88. doi: 10.1097/00002030-200401020-00010 CrossRef Google Scholar
[21]	"The death rate of infected HIV individual". http://www.cdc.gov/hiv/. Google Scholar
[22]	H. R. Thieme, Persistence under relaxed point-dissipativity (with application to an endemic model), SIAM J. Math. Anal., 1993, 24, 407-435. doi: 10.1137/0524026 CrossRef Google Scholar
[23]	X. Wu, J. Guo, M. Niu, M. An et. al., Tandem bispecific neutralizing antibody eliminates HIV-1 infection in humanized mice, J Clin Invest., 2018. https://doi.org/10.1172/JCI96764. Google Scholar
[24]	N. Yee, http://www.nickyee.com/ponder/topbottom.html, 2002. Google Scholar